Number field search results

Results (28 matches)

 

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
11.11.41426511213649.1	$x^{11} - x^{10} - 10 x^{9} + 9 x^{8} + 36 x^{7} - 28 x^{6} - 56 x^{5} + 35 x^{4} + 35 x^{3} - 15 x^{2} - 6 x + 1$	$11$	[11,0]	$23^{10}$	$1$	$17.2955507649$	$17.295550764917277$		✓	✓	$C_{11}$ (as 11T1)	trivial	$2$	$10$	$1014.31330506$
11.11.182...449.1	$x^{11} - x^{10} - 30 x^{9} + 63 x^{8} + 220 x^{7} - 698 x^{6} - 101 x^{5} + 1960 x^{4} - 1758 x^{3} + 35 x^{2} + 243 x + 29$	$11$	[11,0]	$67^{10}$	$1$	$45.7159766745$	$45.71597667454237$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$330512.248088$
11.11.311...601.1	$x^{11} - x^{10} - 40 x^{9} + 19 x^{8} + 482 x^{7} - 84 x^{6} - 2185 x^{5} - 102 x^{4} + 3152 x^{3} + 781 x^{2} + 57 x + 1$	$11$	[11,0]	$89^{10}$	$1$	$59.1796964646$	$59.17969646456082$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$846366.485722$
11.11.672...201.1	$x^{11} - 55 x^{9} - 33 x^{8} + 825 x^{7} + 396 x^{6} - 4972 x^{5} - 1287 x^{4} + 12760 x^{3} + 924 x^{2} - 10989 x - 243$	$11$	[11,0]	$11^{20}$	$1$	$78.2422346586$	$78.24223465860136$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$278432564.723$
11.11.973...001.1	$x^{11} - x^{10} - 90 x^{9} + 115 x^{8} + 2349 x^{7} - 943 x^{6} - 26327 x^{5} - 21284 x^{4} + 102168 x^{3} + 217794 x^{2} + 148930 x + 30647$	$11$	[11,0]	$199^{10}$	$1$	$122.989046087$	$122.98904608708088$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$114390451.519$
11.11.157...801.1	$x^{11} - x^{10} - 150 x^{9} + 402 x^{8} + 6577 x^{7} - 28617 x^{6} - 62124 x^{5} + 475464 x^{4} - 343344 x^{3} - 1913488 x^{2} + 4015168 x - 2287616$	$11$	[11,0]	$331^{10}$	$1$	$195.322701164$	$195.32270116363648$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$1340143683620$
11.11.300...049.1	$x^{11} - x^{10} - 160 x^{9} + 525 x^{8} + 6066 x^{7} - 26034 x^{6} - 48369 x^{5} + 265374 x^{4} - 42966 x^{3} - 405001 x^{2} + 63189 x + 170569$	$11$	[11,0]	$353^{10}$	$1$	$207.08985455$	$207.0898545497219$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$5373530988.23$
11.11.972...049.1	$x^{11} - x^{10} - 180 x^{9} + 13 x^{8} + 11655 x^{7} + 12159 x^{6} - 316973 x^{5} - 720142 x^{4} + 2670510 x^{3} + 10551746 x^{2} + 10752776 x + 3098903$	$11$	[11,0]	$397^{10}$	$1$	$230.428835104$	$230.42883510401091$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$1592800927.62$
11.11.166...801.1	$x^{11} - x^{10} - 190 x^{9} + 547 x^{8} + 10985 x^{7} - 51221 x^{6} - 141765 x^{5} + 1224028 x^{4} - 2399676 x^{3} + 1263744 x^{2} + 873500 x - 785489$	$11$	[11,0]	$419^{10}$	$1$	$242.008672808$	$242.00867280835675$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$13726169613.8$
11.11.452...849.1	$x^{11} - x^{10} - 210 x^{9} + 857 x^{8} + 6242 x^{7} - 36336 x^{6} - 8398 x^{5} + 289307 x^{4} - 265801 x^{3} - 519569 x^{2} + 455080 x + 344327$	$11$	[11,0]	$463^{10}$	$1$	$265.005841026$	$265.00584102607024$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$5780480495.29$
11.11.799...449.1	$x^{11} - x^{10} - 280 x^{9} + 469 x^{8} + 14891 x^{7} - 24713 x^{6} - 271477 x^{5} + 355512 x^{4} + 1733428 x^{3} - 1151536 x^{2} - 2438066 x + 391619$	$11$	[11,0]	$617^{10}$	$1$	$344.051041126$	$344.051041125666$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$11014089072.5$
11.11.159...601.1	$x^{11} - x^{10} - 300 x^{9} + 2185 x^{8} + 8376 x^{7} - 135886 x^{6} + 437196 x^{5} + 166743 x^{4} - 4024987 x^{3} + 9615051 x^{2} - 9696452 x + 3691321$	$11$	[11,0]	$661^{10}$	$1$	$366.285316023$	$366.2853160227791$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$17494437669.3$
11.11.220...449.1	$x^{11} - x^{10} - 310 x^{9} + 395 x^{8} + 26441 x^{7} - 57583 x^{6} - 744575 x^{5} + 2220564 x^{4} + 2568726 x^{3} - 5088204 x^{2} - 1360638 x + 996543$	$11$	[11,0]	$683^{10}$	$1$	$377.351511793$	$377.351511792966$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$2276941413140$
11.11.412...649.1	$x^{11} - x^{10} - 330 x^{9} - 637 x^{8} + 30782 x^{7} + 122078 x^{6} - 616689 x^{5} - 3355168 x^{4} + 183306 x^{3} + 17584739 x^{2} + 19842261 x + 2279191$	$11$	[11,0]	$727^{10}$	$1$	$399.387914504$	$399.387914503562$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$49130453388.1$
11.11.218...401.1	$x^{11} - x^{10} - 390 x^{9} + 653 x^{8} + 52046 x^{7} - 146438 x^{6} - 2723930 x^{5} + 11558015 x^{4} + 36326009 x^{3} - 250960565 x^{2} + 385923388 x - 145865807$	$11$	[11,0]	$859^{10}$	$1$	$464.80042081$	$464.8004208101595$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$80664010957.6$
11.11.281...801.1	$x^{11} - x^{10} - 400 x^{9} + 29 x^{8} + 34594 x^{7} - 51208 x^{6} - 648406 x^{5} + 1281923 x^{4} + 1931229 x^{3} - 2774565 x^{2} - 1474244 x + 1306999$	$11$	[11,0]	$881^{10}$	$1$	$475.609834056$	$475.6098340560147$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$379023342573$
11.11.580...049.1	$x^{11} - x^{10} - 430 x^{9} - 2035 x^{8} + 28780 x^{7} + 141142 x^{6} - 760875 x^{5} - 3028650 x^{4} + 8674010 x^{3} + 20981317 x^{2} - 30077229 x - 47440673$	$11$	[11,0]	$947^{10}$	$1$	$507.893562454$	$507.8935624536204$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$1104123814020$
11.11.913...401.1	$x^{11} - x^{10} - 450 x^{9} + 393 x^{8} + 65785 x^{7} - 76121 x^{6} - 3728249 x^{5} + 6483322 x^{4} + 89323866 x^{3} - 205338716 x^{2} - 745717454 x + 2032282741$	$11$	[11,0]	$991^{10}$	$1$	$529.301740716$	$529.3017407164167$		✓		$C_{11}$ (as 11T1)	trivial	$2$	$10$	$155801246971$
11.11.278...449.1	$x^{11} - 1265 x^{9} - 4807 x^{8} + 544962 x^{7} + 4031808 x^{6} - 81455880 x^{5} - 916234187 x^{4} + 714773070 x^{3} + 31567681332 x^{2} + 58422539890 x - 98108643071$	$11$	[11,0]	$11^{20}\cdot 23^{10}$	$2$	$1353.2425415$	$1353.24254149841$		✓		$C_{11}$ (as 11T1)	$[11]$	$2$	$10$	$2524169127627.655$
11.11.278...449.2	$x^{11} - 1265 x^{9} - 4807 x^{8} + 528264 x^{7} + 3347190 x^{6} - 77350955 x^{5} - 506615549 x^{4} + 4435947417 x^{3} + 22379726501 x^{2} - 83401753347 x - 84992124733$	$11$	[11,0]	$11^{20}\cdot 23^{10}$	$2$	$1353.2425415$	$1353.24254149841$		✓		$C_{11}$ (as 11T1)	$[11]$	$2$	$10$	$13856724912536.113$
11.11.278...449.3	$x^{11} - 1265 x^{9} - 759 x^{8} + 461472 x^{7} + 727122 x^{6} - 64557504 x^{5} - 152866395 x^{4} + 3259832136 x^{3} + 7537075436 x^{2} - 51546842380 x - 79493912081$	$11$	[11,0]	$11^{20}\cdot 23^{10}$	$2$	$1353.2425415$	$1353.24254149841$		✓		$C_{11}$ (as 11T1)	$[11]$	$2$	$10$	$2768761764338.989$
11.11.278...449.4	$x^{11} - 1265 x^{9} - 4807 x^{8} + 478170 x^{7} + 3280398 x^{6} - 48772328 x^{5} - 446246713 x^{4} + 942027284 x^{3} + 16580057472 x^{2} + 32566872448 x - 22424006285$	$11$	[11,0]	$11^{20}\cdot 23^{10}$	$2$	$1353.2425415$	$1353.24254149841$		✓		$C_{11}$ (as 11T1)	$[11]$	$2$	$10$	$50372046418790.55$
11.11.278...449.5	$x^{11} - 1265 x^{9} - 14674 x^{8} + 185955 x^{7} + 2435884 x^{6} - 11416119 x^{5} - 129158018 x^{4} + 313069284 x^{3} + 2487077032 x^{2} - 2608377376 x - 15433395968$	$11$	[11,0]	$11^{20}\cdot 23^{10}$	$2$	$1353.2425415$	$1353.24254149841$		✓		$C_{11}$ (as 11T1)	$[11]$	$2$	$10$	$5237308266600679.0$
11.11.278...449.6	$x^{11} - 1265 x^{9} - 759 x^{8} + 511566 x^{7} + 810612 x^{6} - 74117109 x^{5} - 171278723 x^{4} + 3526980655 x^{3} + 9233082947 x^{2} - 12188156343 x - 5403811843$	$11$	[11,0]	$11^{20}\cdot 23^{10}$	$2$	$1353.2425415$	$1353.24254149841$		✓		$C_{11}$ (as 11T1)	$[11]$	$2$	$10$	$3514735062507.8184$
11.11.278...449.7	$x^{11} - 1265 x^{9} - 759 x^{8} + 344586 x^{7} - 436172 x^{6} - 27487944 x^{5} + 90501389 x^{4} + 123836416 x^{3} - 487081672 x^{2} + 106500350 x + 236115769$	$11$	[11,0]	$11^{20}\cdot 23^{10}$	$2$	$1353.2425415$	$1353.24254149841$		✓		$C_{11}$ (as 11T1)	$[11]$	$2$	$10$	$2963701738171.1094$
11.11.278...449.8	$x^{11} - 1265 x^{9} - 10373 x^{8} + 294492 x^{7} + 3035494 x^{6} - 8026425 x^{5} - 146495349 x^{4} - 384865371 x^{3} - 62619271 x^{2} + 570245555 x + 370255403$	$11$	[11,0]	$11^{20}\cdot 23^{10}$	$2$	$1353.2425415$	$1353.24254149841$		✓		$C_{11}$ (as 11T1)	$[11]$	$2$	$10$	$22723991241313.113$
11.11.278...449.9	$x^{11} - 1265 x^{9} - 17457 x^{8} + 94116 x^{7} + 2769844 x^{6} + 11844195 x^{5} - 25677729 x^{4} - 204142917 x^{3} - 41615211 x^{2} + 796965433 x + 479405629$	$11$	[11,0]	$11^{20}\cdot 23^{10}$	$2$	$1353.2425415$	$1353.24254149841$		✓		$C_{11}$ (as 11T1)	$[11]$	$2$	$10$	$2107938978012.7551$
11.11.278...449.10	$x^{11} - 1265 x^{9} - 10373 x^{8} + 461472 x^{7} + 7026316 x^{6} - 19353235 x^{5} - 853505367 x^{4} - 3771314393 x^{3} + 11665833289 x^{2} + 103006408615 x + 152668956353$	$11$	[11,0]	$11^{20}\cdot 23^{10}$	$2$	$1353.2425415$	$1353.24254149841$		✓		$C_{11}$ (as 11T1)	$[11]$	$2$	$10$	$2083946923676.7688$